DLA Terminology and notation

Section 20.2 Terminology and notation

The following definitions all apply to an

m \times n

matrix.

column space: the subspace of $R^{m}$ formed by the span of the columns of the matrix
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row space: the subspace of $R^{n}$ formed by the span of the rows of the matrix
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null space: the subspace of $R^{n}$ formed by the solution set of the homogeneous system with that matrix as the coefficient matrix
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nullity: the dimension of the null space of the matrix
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